%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MGT064-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:13:00 PM UTC 2026
% Result : Unsatisfiable 3.65s 1.12s
% Output : CNFRefutation 3.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 32
% Syntax : Number of formulae : 152 ( 44 unt; 0 def)
% Number of atoms : 378 ( 100 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 443 ( 217 ~; 226 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 4 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 180 ( 0 sgn 180 !; 0 ?; 135 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( X0 = X1
| smaller(X0,X1)
| ~ smaller_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_1) ).
fof(f2,axiom,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| ~ smaller(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_2) ).
fof(f3,axiom,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| X0 != X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_3) ).
fof(f7,axiom,
! [X0,X1] :
( greater(X1,X0)
| ~ smaller(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_7) ).
fof(f8,axiom,
! [X0,X1] :
( smaller(X1,X0)
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_8) ).
fof(f9,axiom,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_strict_9) ).
fof(f10,axiom,
! [X2,X0,X1] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_transitive_10) ).
fof(f19,axiom,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| has_endowment(X0)
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_1_46) ).
fof(f20,axiom,
! [X2,X0,X1] :
( organization(X0)
| ~ dissimilar(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_47) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ dissimilar(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_49) ).
fof(f24,axiom,
! [X2,X0,X1] :
( dissimilar(X0,X1,X2)
| is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_51) ).
fof(f27,axiom,
! [X0,X1] :
( is_aligned(X0,X1)
| age(X0,X1) != zero
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_13_54) ).
fof(f28,axiom,
! [X2,X0,X1] :
( dissimilar(X0,X1,X2)
| ~ greater(age(X0,X2),sigma)
| age(X0,X1) != zero
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_15_55) ).
fof(f29,axiom,
! [X2,X0,X1] :
( greater(age(X0,X2),sigma)
| ~ dissimilar(X0,X1,X2)
| age(X0,X1) != zero
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_15_56) ).
fof(f30,axiom,
! [X0,X1] :
( ~ positional_advantage(X0,X1)
| ~ smaller_or_equal(age(X0,X1),tau)
| ~ robust_position(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_4_57) ).
fof(f31,axiom,
! [X0,X1] :
( positional_advantage(X0,X1)
| ~ greater(age(X0,X1),tau)
| ~ robust_position(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_4_58) ).
fof(f37,axiom,
! [X0,X1] :
( hazard_of_mortality(X0,X1) = low
| ~ positional_advantage(X0,X1)
| ~ is_aligned(X0,X1)
| has_immunity(X0,X1)
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_64) ).
fof(f38,axiom,
! [X0,X1] :
( hazard_of_mortality(X0,X1) = mod1
| ~ positional_advantage(X0,X1)
| is_aligned(X0,X1)
| has_immunity(X0,X1)
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_65) ).
fof(f39,axiom,
! [X0,X1] :
( hazard_of_mortality(X0,X1) = mod2
| positional_advantage(X0,X1)
| ~ is_aligned(X0,X1)
| has_immunity(X0,X1)
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_66) ).
fof(f42,axiom,
greater(mod1,low),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18b_69) ).
fof(f46,axiom,
greater(mod2,mod1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_19_73) ).
fof(f47,negated_conjecture,
organization(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_10_74) ).
fof(f48,negated_conjecture,
robust_position(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_10_75) ).
fof(f49,negated_conjecture,
~ has_endowment(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_10_76) ).
fof(f50,negated_conjecture,
age(sk3,sk4) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_10_77) ).
fof(f51,plain,
zero = age(sk3,sk4),
inference(reorient_equations,[],[f50]) ).
fof(f53,negated_conjecture,
greater(tau,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_10_79) ).
fof(f54,negated_conjecture,
greater(sigma,tau),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_10_80) ).
fof(f55,negated_conjecture,
smaller_or_equal(age(sk3,sk5),tau),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_10_81) ).
fof(f56,negated_conjecture,
greater(age(sk3,sk6),tau),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_10_82) ).
fof(f57,negated_conjecture,
smaller_or_equal(age(sk3,sk6),sigma),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_10_83) ).
fof(f58,negated_conjecture,
greater(age(sk3,sk7),sigma),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_10_84) ).
fof(f59,negated_conjecture,
( hazard_of_mortality(sk3,sk5) != hazard_of_mortality(sk3,sk4)
| ~ smaller(hazard_of_mortality(sk3,sk7),hazard_of_mortality(sk3,sk5))
| ~ smaller(hazard_of_mortality(sk3,sk6),hazard_of_mortality(sk3,sk7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_10_85) ).
fof(f60,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f3]) ).
tcf(c_107,negated_conjecture,
organization(sk3),
inference(cnf_transformation,[],[f47]) ).
tcf(c_108,negated_conjecture,
robust_position(sk3),
inference(cnf_transformation,[],[f48]) ).
tcf(c_109,negated_conjecture,
~ has_endowment(sk3),
inference(cnf_transformation,[],[f49]) ).
tcf(c_110,negated_conjecture,
age(sk3,sk4) = zero,
inference(cnf_transformation,[],[f51]) ).
tcf(c_112,negated_conjecture,
greater(tau,zero),
inference(cnf_transformation,[],[f53]) ).
tcf(c_113,negated_conjecture,
greater(sigma,tau),
inference(cnf_transformation,[],[f54]) ).
tcf(c_114,negated_conjecture,
smaller_or_equal(age(sk3,sk5),tau),
inference(cnf_transformation,[],[f55]) ).
tcf(c_115,negated_conjecture,
greater(age(sk3,sk6),tau),
inference(cnf_transformation,[],[f56]) ).
tcf(c_116,negated_conjecture,
smaller_or_equal(age(sk3,sk6),sigma),
inference(cnf_transformation,[],[f57]) ).
tcf(c_117,negated_conjecture,
greater(age(sk3,sk7),sigma),
inference(cnf_transformation,[],[f58]) ).
tcf(c_118,negated_conjecture,
( ~ smaller(hazard_of_mortality(sk3,sk7),hazard_of_mortality(sk3,sk5))
| ~ smaller(hazard_of_mortality(sk3,sk6),hazard_of_mortality(sk3,sk7))
| ( hazard_of_mortality(sk3,sk4) != hazard_of_mortality(sk3,sk5) ) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_119,plain,
! [X0: $i,X1: $i] :
( positional_advantage(X0,X1)
| ~ robust_position(X0)
| ~ greater(age(X0,X1),tau) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i] :
( ~ robust_position(X0)
| ~ positional_advantage(X0,X1)
| ~ smaller_or_equal(age(X0,X1),tau) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i] :
( has_endowment(X0)
| ~ organization(X0)
| ~ has_immunity(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_123,plain,
! [X0: $i] : smaller_or_equal(X0,X0),
inference(cnf_transformation,[],[f60]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(age(X0,X2),sigma)
| ~ organization(X0)
| ~ dissimilar(X0,X1,X2)
| ( age(X0,X1) != zero ) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i,X2: $i] :
( dissimilar(X0,X1,X2)
| ~ organization(X0)
| ~ greater(age(X0,X2),sigma)
| ( age(X0,X1) != zero ) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_126,plain,
! [X0: $i,X1: $i] :
( is_aligned(X0,X1)
| ~ organization(X0)
| ( age(X0,X1) != zero ) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_127,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_130,plain,
! [X0: $i,X1: $i] :
( smaller(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i] :
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_132,plain,
! [X0: $i,X1: $i] :
( smaller_or_equal(X0,X1)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_133,plain,
! [X0: $i,X1: $i] :
( smaller(X0,X1)
| ( X0 = X1 )
| ~ smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_134,plain,
! [X0: $i,X1: $i] :
( positional_advantage(X0,X1)
| has_immunity(X0,X1)
| ( hazard_of_mortality(X0,X1) = mod2 )
| ~ organization(X0)
| ~ is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_135,plain,
! [X0: $i,X1: $i] :
( is_aligned(X0,X1)
| has_immunity(X0,X1)
| ( hazard_of_mortality(X0,X1) = mod1 )
| ~ organization(X0)
| ~ positional_advantage(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_136,plain,
! [X0: $i,X1: $i] :
( has_immunity(X0,X1)
| ( hazard_of_mortality(X0,X1) = low )
| ~ organization(X0)
| ~ positional_advantage(X0,X1)
| ~ is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_138,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_aligned(X0,X2)
| dissimilar(X0,X1,X2)
| ~ organization(X0)
| ~ is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_139,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_141,plain,
! [X0: $i,X1: $i,X2: $i] :
( organization(X0)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_142,plain,
greater(mod2,mod1),
inference(cnf_transformation,[],[f46]) ).
tcf(c_145,plain,
greater(mod1,low),
inference(cnf_transformation,[],[f42]) ).
tcf(c_166,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(age(X0,X2),sigma)
| ( age(X0,X1) != zero )
| ~ dissimilar(X0,X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_124,c_141,c_124]) ).
tcf(c_167,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(age(X0,X2),sigma)
| ~ dissimilar(X0,X1,X2)
| ( age(X0,X1) != zero ) ),
inference(renaming,[status(thm)],[c_166]) ).
tcf(c_520,plain,
! [X0: $i,X1: $i] :
( positional_advantage(X0,X1)
| ~ greater(age(X0,X1),tau)
| ( X0 != sk3 ) ),
inference(resolution_lifted,[status(thm)],[c_119,c_108]) ).
tcf(c_521,plain,
! [X0: $i] :
( positional_advantage(sk3,X0)
| ~ greater(age(sk3,X0),tau) ),
inference(unflattening,[status(thm)],[c_520]) ).
tcf(c_529,plain,
! [X0: $i,X1: $i] :
( ~ positional_advantage(X0,X1)
| ~ smaller_or_equal(age(X0,X1),tau)
| ( X0 != sk3 ) ),
inference(resolution_lifted,[status(thm)],[c_120,c_108]) ).
tcf(c_530,plain,
! [X0: $i] :
( ~ positional_advantage(sk3,X0)
| ~ smaller_or_equal(age(sk3,X0),tau) ),
inference(unflattening,[status(thm)],[c_529]) ).
tcf(c_544,plain,
! [X0: $i,X1: $i] :
( ~ organization(X0)
| ~ has_immunity(X0,X1)
| ( X0 != sk3 ) ),
inference(resolution_lifted,[status(thm)],[c_121,c_109]) ).
tcf(c_545,plain,
! [X0: $i] :
( ~ organization(sk3)
| ~ has_immunity(sk3,X0) ),
inference(unflattening,[status(thm)],[c_544]) ).
tcf(c_547,plain,
! [X0: $i] : ~ has_immunity(sk3,X0),
inference(global_subsumption_just,[status(thm)],[c_545,c_107,c_545]) ).
tcf(c_556,plain,
! [X0: $i,X1: $i] :
( smaller(X0,X1)
| ( X0 = X1 )
| ( X1 != tau )
| ( age(sk3,sk5) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_114,c_133]) ).
tcf(c_557,plain,
( smaller(age(sk3,sk5),tau)
| ( age(sk3,sk5) = tau ) ),
inference(unflattening,[status(thm)],[c_556]) ).
tcf(c_575,plain,
! [X0: $i,X1: $i] :
( smaller(X0,X1)
| ( X0 = X1 )
| ( X1 != sigma )
| ( age(sk3,sk6) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_116,c_133]) ).
tcf(c_576,plain,
( smaller(age(sk3,sk6),sigma)
| ( age(sk3,sk6) = sigma ) ),
inference(unflattening,[status(thm)],[c_575]) ).
tcf(c_596,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ positional_advantage(sk3,X0)
| ~ smaller(X1,X2)
| ( X2 != tau )
| ( age(sk3,X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_132,c_530]) ).
tcf(c_597,plain,
! [X0: $i] :
( ~ positional_advantage(sk3,X0)
| ~ smaller(age(sk3,X0),tau) ),
inference(unflattening,[status(thm)],[c_596]) ).
tcf(c_605,plain,
! [X0: $i,X1: $i] :
( ~ positional_advantage(sk3,X0)
| ( X1 != tau )
| ( age(sk3,X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_123,c_530]) ).
tcf(c_606,plain,
! [X0: $i] :
( ~ positional_advantage(sk3,X0)
| ( age(sk3,X0) != tau ) ),
inference(unflattening,[status(thm)],[c_605]) ).
tcf(c_643,plain,
! [X0: $i,X1: $i,X2: $i] :
( positional_advantage(X0,X1)
| ( hazard_of_mortality(X0,X1) = mod2 )
| ~ organization(X0)
| ~ is_aligned(X0,X1)
| ( X1 != X2 )
| ( X0 != sk3 ) ),
inference(resolution_lifted,[status(thm)],[c_134,c_547]) ).
tcf(c_644,plain,
! [X0: $i] :
( positional_advantage(sk3,X0)
| ( hazard_of_mortality(sk3,X0) = mod2 )
| ~ organization(sk3)
| ~ is_aligned(sk3,X0) ),
inference(unflattening,[status(thm)],[c_643]) ).
tcf(c_646,plain,
! [X0: $i] :
( positional_advantage(sk3,X0)
| ( hazard_of_mortality(sk3,X0) = mod2 )
| ~ is_aligned(sk3,X0) ),
inference(global_subsumption_just,[status(thm)],[c_644,c_107,c_644]) ).
tcf(c_658,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_aligned(X0,X1)
| ( hazard_of_mortality(X0,X1) = mod1 )
| ~ organization(X0)
| ~ positional_advantage(X0,X1)
| ( X1 != X2 )
| ( X0 != sk3 ) ),
inference(resolution_lifted,[status(thm)],[c_135,c_547]) ).
tcf(c_659,plain,
! [X0: $i] :
( is_aligned(sk3,X0)
| ( hazard_of_mortality(sk3,X0) = mod1 )
| ~ organization(sk3)
| ~ positional_advantage(sk3,X0) ),
inference(unflattening,[status(thm)],[c_658]) ).
tcf(c_661,plain,
! [X0: $i] :
( is_aligned(sk3,X0)
| ( hazard_of_mortality(sk3,X0) = mod1 )
| ~ positional_advantage(sk3,X0) ),
inference(global_subsumption_just,[status(thm)],[c_659,c_107,c_659]) ).
tcf(c_673,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( hazard_of_mortality(X0,X1) = low )
| ~ organization(X0)
| ~ positional_advantage(X0,X1)
| ~ is_aligned(X0,X1)
| ( X1 != X2 )
| ( X0 != sk3 ) ),
inference(resolution_lifted,[status(thm)],[c_136,c_547]) ).
tcf(c_674,plain,
! [X0: $i] :
( ( hazard_of_mortality(sk3,X0) = low )
| ~ organization(sk3)
| ~ positional_advantage(sk3,X0)
| ~ is_aligned(sk3,X0) ),
inference(unflattening,[status(thm)],[c_673]) ).
tcf(c_676,plain,
! [X0: $i] :
( ( hazard_of_mortality(sk3,X0) = low )
| ~ is_aligned(sk3,X0)
| ~ positional_advantage(sk3,X0) ),
inference(global_subsumption_just,[status(thm)],[c_674,c_107,c_674]) ).
tcf(c_677,plain,
! [X0: $i] :
( ( hazard_of_mortality(sk3,X0) = low )
| ~ positional_advantage(sk3,X0)
| ~ is_aligned(sk3,X0) ),
inference(renaming,[status(thm)],[c_676]) ).
tcf(c_824,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ organization(X0)
| ~ is_aligned(X2,X5)
| ~ is_aligned(X2,X3)
| ~ greater(age(X0,X4),sigma)
| ( X4 != X5 )
| ( X1 != X3 )
| ( X0 != X2 )
| ( age(X0,X1) != zero ) ),
inference(resolution_lifted,[status(thm)],[c_125,c_139]) ).
tcf(c_825,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ organization(X0)
| ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ greater(age(X0,X2),sigma)
| ( age(X0,X1) != zero ) ),
inference(unflattening,[status(thm)],[c_824]) ).
tcf(c_827,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ organization(X0)
| ~ is_aligned(X0,X2)
| ( age(X0,X1) != zero )
| ~ greater(age(X0,X2),sigma) ),
inference(global_subsumption_just,[status(thm)],[c_825,c_126,c_825]) ).
tcf(c_828,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ organization(X0)
| ~ is_aligned(X0,X2)
| ~ greater(age(X0,X2),sigma)
| ( age(X0,X1) != zero ) ),
inference(renaming,[status(thm)],[c_827]) ).
tcf(c_847,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( is_aligned(X2,X4)
| greater(age(X0,X5),sigma)
| ~ organization(X2)
| ~ is_aligned(X2,X3)
| ( X4 != X5 )
| ( X1 != X3 )
| ( X0 != X2 )
| ( age(X0,X1) != zero ) ),
inference(resolution_lifted,[status(thm)],[c_138,c_167]) ).
tcf(c_848,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_aligned(X0,X2)
| greater(age(X0,X2),sigma)
| ~ organization(X0)
| ~ is_aligned(X0,X1)
| ( age(X0,X1) != zero ) ),
inference(unflattening,[status(thm)],[c_847]) ).
tcf(c_849,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_aligned(X0,X2)
| greater(age(X0,X2),sigma)
| ~ organization(X0)
| ( age(X0,X1) != zero ) ),
inference(global_subsumption_just,[status(thm)],[c_848,c_126,c_848]) ).
tcf(c_887,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_aligned(X0,X2)
| greater(age(X0,X2),sigma)
| ( X0 != sk3 )
| ( age(X0,X1) != zero ) ),
inference(resolution_lifted,[status(thm)],[c_849,c_107]) ).
tcf(c_888,plain,
! [X0: $i,X1: $i] :
( is_aligned(sk3,X1)
| greater(age(sk3,X1),sigma)
| ( age(sk3,X0) != zero ) ),
inference(unflattening,[status(thm)],[c_887]) ).
tcf(c_898,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ is_aligned(X0,X2)
| ~ greater(age(X0,X2),sigma)
| ( X0 != sk3 )
| ( age(X0,X1) != zero ) ),
inference(resolution_lifted,[status(thm)],[c_828,c_107]) ).
tcf(c_899,plain,
! [X0: $i,X1: $i] :
( ~ is_aligned(sk3,X1)
| ~ greater(age(sk3,X1),sigma)
| ( age(sk3,X0) != zero ) ),
inference(unflattening,[status(thm)],[c_898]) ).
tcf(c_1924,plain,
! [X0: $i] :
( ~ iPr_def_10
| ~ greater(age(sk3,X0),sigma)
| ~ is_aligned(sk3,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_899]) ).
tcf(c_1925,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( age(sk3,X0) != zero ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_899]) ).
tcf(c_1926,plain,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_899]) ).
tcf(c_1927,plain,
! [X0: $i] :
( ~ iPr_def_12
| greater(age(sk3,X0),sigma)
| is_aligned(sk3,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_888]) ).
tcf(c_1928,plain,
( iPr_def_12
| iPr_def_11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_888]) ).
tcf(c_2331,plain,
smaller(low,mod1),
inference(superposition,[status(thm)],[c_145,c_130]) ).
tcf(c_2334,plain,
smaller(mod1,mod2),
inference(superposition,[status(thm)],[c_142,c_130]) ).
tcf(c_2336,plain,
smaller(zero,tau),
inference(superposition,[status(thm)],[c_112,c_130]) ).
tcf(c_2344,plain,
positional_advantage(sk3,sk6),
inference(superposition,[status(thm)],[c_115,c_521]) ).
tcf(c_2361,plain,
( greater(sigma,age(sk3,sk6))
| ( age(sk3,sk6) = sigma ) ),
inference(superposition,[status(thm)],[c_576,c_131]) ).
tcf(c_2480,plain,
( ~ iPr_def_11
| ( age(sk3,sk4) != zero ) ),
inference(instantiation,[status(thm)],[c_1925]) ).
tcf(c_2544,plain,
! [X0: $i] :
( is_aligned(sk3,X0)
| greater(age(sk3,X0),sigma) ),
inference(global_subsumption_just,[status(thm)],[c_1927,c_110,c_1927,c_1928,c_2480]) ).
tcf(c_2552,plain,
! [X0: $i,X1: $i] :
( is_aligned(sk3,X1)
| greater(age(sk3,X1),X0)
| ~ greater(sigma,X0) ),
inference(superposition,[status(thm)],[c_2544,c_127]) ).
tcf(c_2553,plain,
! [X0: $i] :
( is_aligned(sk3,X0)
| ~ greater(sigma,age(sk3,X0)) ),
inference(superposition,[status(thm)],[c_2544,c_128]) ).
tcf(c_2565,plain,
! [X0: $i] :
( ~ is_aligned(sk3,X0)
| ~ greater(age(sk3,X0),sigma) ),
inference(global_subsumption_just,[status(thm)],[c_1924,c_110,c_1924,c_1926,c_2480]) ).
tcf(c_2572,plain,
~ is_aligned(sk3,sk7),
inference(superposition,[status(thm)],[c_117,c_2565]) ).
tcf(c_2648,plain,
( is_aligned(sk3,sk6)
| ( age(sk3,sk6) = sigma ) ),
inference(superposition,[status(thm)],[c_2361,c_2553]) ).
tcf(c_2657,plain,
( ( age(sk3,sk5) = tau )
| ~ positional_advantage(sk3,sk5) ),
inference(superposition,[status(thm)],[c_557,c_597]) ).
tcf(c_2658,plain,
( ~ smaller(zero,tau)
| ~ positional_advantage(sk3,sk4) ),
inference(superposition,[status(thm)],[c_110,c_597]) ).
tcf(c_2659,plain,
~ positional_advantage(sk3,sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_2658,c_2336]) ).
tcf(c_3749,plain,
~ positional_advantage(sk3,sk5),
inference(backward_subsumption_resolution,[status(thm)],[c_2657,c_606]) ).
tcf(c_3944,plain,
! [X0: $i] :
( positional_advantage(sk3,X0)
| is_aligned(sk3,X0)
| ~ greater(sigma,tau) ),
inference(superposition,[status(thm)],[c_2552,c_521]) ).
tcf(c_3950,plain,
! [X0: $i] :
( positional_advantage(sk3,X0)
| is_aligned(sk3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3944,c_113]) ).
tcf(c_3987,plain,
! [X0: $i] :
( positional_advantage(sk3,X0)
| ( hazard_of_mortality(sk3,X0) = mod2 ) ),
inference(global_subsumption_just,[status(thm)],[c_646,c_107,c_644,c_3950]) ).
tcf(c_3994,plain,
hazard_of_mortality(sk3,sk4) = mod2,
inference(superposition,[status(thm)],[c_3987,c_2659]) ).
tcf(c_3995,plain,
hazard_of_mortality(sk3,sk5) = mod2,
inference(superposition,[status(thm)],[c_3987,c_3749]) ).
tcf(c_3996,plain,
( ~ smaller(hazard_of_mortality(sk3,sk7),hazard_of_mortality(sk3,sk5))
| ~ smaller(hazard_of_mortality(sk3,sk6),hazard_of_mortality(sk3,sk7))
| ( hazard_of_mortality(sk3,sk5) != mod2 ) ),
inference(demodulation,[status(thm)],[c_118,c_3994]) ).
tcf(c_3997,plain,
( ~ smaller(hazard_of_mortality(sk3,sk7),hazard_of_mortality(sk3,sk5))
| ~ smaller(hazard_of_mortality(sk3,sk6),hazard_of_mortality(sk3,sk7)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3996,c_3995]) ).
tcf(c_4000,plain,
! [X0: $i] :
( is_aligned(sk3,X0)
| ( hazard_of_mortality(sk3,X0) = mod1 ) ),
inference(global_subsumption_just,[status(thm)],[c_661,c_661,c_3950]) ).
tcf(c_4007,plain,
hazard_of_mortality(sk3,sk7) = mod1,
inference(superposition,[status(thm)],[c_4000,c_2572]) ).
tcf(c_5133,plain,
( ( hazard_of_mortality(sk3,sk6) = low )
| ~ is_aligned(sk3,sk6) ),
inference(superposition,[status(thm)],[c_2344,c_677]) ).
tcf(c_5144,plain,
( ( hazard_of_mortality(sk3,sk6) = mod1 )
| ( hazard_of_mortality(sk3,sk6) = low ) ),
inference(superposition,[status(thm)],[c_4000,c_5133]) ).
tcf(c_5145,plain,
( ( hazard_of_mortality(sk3,sk6) = low )
| ( age(sk3,sk6) = sigma ) ),
inference(superposition,[status(thm)],[c_2648,c_5133]) ).
tcf(c_5539,plain,
( ~ smaller(mod1,mod2)
| ~ smaller(hazard_of_mortality(sk3,sk6),mod1) ),
inference(light_normalisation,[status(thm)],[c_3997,c_3995,c_4007]) ).
tcf(c_5540,plain,
~ smaller(hazard_of_mortality(sk3,sk6),mod1),
inference(forward_subsumption_resolution,[status(thm)],[c_5539,c_2334]) ).
tcf(c_5543,plain,
( ( hazard_of_mortality(sk3,sk6) = mod1 )
| ~ smaller(low,mod1) ),
inference(superposition,[status(thm)],[c_5144,c_5540]) ).
tcf(c_5544,plain,
hazard_of_mortality(sk3,sk6) = mod1,
inference(forward_subsumption_resolution,[status(thm)],[c_5543,c_2331]) ).
tcf(c_5545,plain,
~ smaller(mod1,mod1),
inference(demodulation,[status(thm)],[c_5540,c_5544]) ).
tcf(c_5546,plain,
( ( low = mod1 )
| ~ is_aligned(sk3,sk6) ),
inference(demodulation,[status(thm)],[c_5133,c_5544]) ).
tcf(c_5712,plain,
( ( low = mod1 )
| ( age(sk3,sk6) = sigma ) ),
inference(light_normalisation,[status(thm)],[c_5145,c_5544]) ).
tcf(c_5742,plain,
( ( low = mod1 )
| ~ smaller(sigma,tau)
| ~ positional_advantage(sk3,sk6) ),
inference(superposition,[status(thm)],[c_5712,c_597]) ).
tcf(c_5743,plain,
( is_aligned(sk3,sk6)
| ( low = mod1 )
| ~ greater(sigma,sigma) ),
inference(superposition,[status(thm)],[c_5712,c_2553]) ).
tcf(c_5746,plain,
( is_aligned(sk3,sk6)
| greater(sigma,sigma)
| ( low = mod1 ) ),
inference(superposition,[status(thm)],[c_5712,c_2544]) ).
tcf(c_5758,plain,
( is_aligned(sk3,sk6)
| ( low = mod1 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_5746,c_5743]) ).
tcf(c_5773,plain,
( ( low = mod1 )
| ~ smaller(sigma,tau) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5742,c_2344]) ).
tcf(c_5933,plain,
low = mod1,
inference(global_subsumption_just,[status(thm)],[c_5773,c_5546,c_5758]) ).
tcf(c_5957,plain,
smaller(mod1,mod1),
inference(demodulation,[status(thm)],[c_2331,c_5933]) ).
tcf(c_5960,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5957,c_5545]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT064-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.39 % Computer : n016.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Thu Sep 24 01:22:47 UTC 2026
% 0.10/0.40 % CPUTime :
% 0.10/0.40 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.43 Running first-order theorem proving
% 0.10/0.43 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.45
% 0.10/0.45 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.45
% 0.10/0.45 % Detected problem language: tptp
% 0.10/0.46 % Proving...
% 3.65/1.12 % SZS status Started for theBenchmark.p
% 3.65/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 3.65/1.12
% 3.65/1.12 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.65/1.12
% 3.65/1.12 % ------ iProver source info
% 3.65/1.12
% 3.65/1.12 % git: date: 2026-07-19 20:42:38 +0200
% 3.65/1.12 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.65/1.12 % git: non_committed_changes: false
% 3.65/1.12
% 3.65/1.12 % ------ Parsing...% successful
% 3.65/1.12
% 3.65/1.12
% 3.65/1.12 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.65/1.12
% 3.65/1.12 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe_e %
% 3.65/1.12
% 3.65/1.12 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.65/1.12
% 3.65/1.12 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.65/1.12 % ------ Proving...
% 3.65/1.12 % ------ Problem Properties
% 3.65/1.12
% 3.65/1.12 %
% 3.65/1.12 % clauses 34
% 3.65/1.12 % conjectures 7
% 3.65/1.12 % EPR 15
% 3.65/1.12 % Horn 25
% 3.65/1.12 % unary 11
% 3.65/1.12 % binary 13
% 3.65/1.12 % lits 67
% 3.65/1.12 % lits eq 15
% 3.65/1.12 % fd_pure 0
% 3.65/1.12 % fd_pseudo 0
% 3.65/1.12 % fd_cond 0
% 3.65/1.12 % fd_pseudo_cond 1
% 3.65/1.12 % AC symbols 0
% 3.65/1.12
% 3.65/1.12 % ------ Schedule dynamic 5 is on
% 3.65/1.12
% 3.65/1.12 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.65/1.12
% 3.65/1.12
% 3.65/1.12 % ------
% 3.65/1.12 % Current options:
% 3.65/1.12 % ------
% 3.65/1.12
% 3.65/1.12
% 3.65/1.12 %
% 3.65/1.12
% 3.65/1.12 % ------ Proving...
% 3.65/1.12 %
% 3.65/1.12
% 3.65/1.12 % SZS status Unsatisfiable for theBenchmark.p
% 3.65/1.12
% 3.65/1.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.65/1.12
% 3.65/1.12
%------------------------------------------------------------------------------